Suppression of structural vibrations is an important design consideration for structures subjected to dynamic excitations. There are many methods to control the vibration of structures either in passive or in active ways. Tuned Liquid Damper (TLD) is a passive control device that nowadays using of it increased, because it is an economical and effective absorber. A Tuned Liquid Damper (TLD) consists of a rigid tank partially filled with liquid and relies upon the liquid sloshing forces or moments to dissipate vibrational energy and to suppress structural vibrations. The result of damper becomes more effective by tuning the fundamental sloshing fluid frequency to the natural frequency of the structure. Some researchs have analysed Tuned Liquid Dampers (TLDs) subjected to weak excitations so some effects such that turbulence and wave breaking have been ignored. But as the amplitude of excitation is increased, the liquid responds violently such as occurrence of turbulence, wave breaking. But important findings have been reported by some researchers who identified that breaking surface waves are a major mechanism of energy dissipation compared to liquid viscosity and container bottom roughness. Also most of researches obtain response of structures subjected to 1-D excitations, but the ground motions cause 3-D motions of building. So this research focuses on modeling of liquid sloshing in rectangular tanks (and considering wave breaking) as a Tuned Liquid Damper (TLD) and effects of it in response of shear buildings equipped with TLDs subjected to 2-D excitations.